Basic Math Examples

$(4 c^{2} y^{3}) (\frac{1}{4} \cdot (c^{- 3} y^{2}))$

Step 1

Multiply $c^{2}$ by $c^{- 3}$ by adding the exponents.

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Step 1.1

Move $c^{- 3}$ .

$4 (c^{- 3} c^{2}) y^{3} (\frac{1}{4} \cdot (y^{2}))$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 c^{- 3 + 2} y^{3} (\frac{1}{4} \cdot (y^{2}))$

Step 1.3

Add $- 3$ and $2$ .

$4 c^{- 1} y^{3} (\frac{1}{4} \cdot (y^{2}))$

Step 2

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

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Step 2.1

Move $y^{2}$ .

$4 c^{- 1} (y^{2} y^{3}) \frac{1}{4}$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 c^{- 1} y^{2 + 3} \frac{1}{4}$

Step 2.3

Add $2$ and $3$ .

$4 c^{- 1} y^{5} \frac{1}{4}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $4 c^{- 1} y^{5}$ .

$4 (c^{- 1} y^{5}) \frac{1}{4}$

Step 3.2

Cancel the common factor.

$4 (c^{- 1} y^{5}) \frac{1}{4}$

Step 3.3

Rewrite the expression.

$c^{- 1} y^{5}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{c} y^{5}$

Step 5

Combine $\frac{1}{c}$ and $y^{5}$ .

$\frac{y^{5}}{c}$